If the depth of the water tank appears to be 10 m, then its actual depth would be: (Refractive Index of water = 1.33)

  1. 1330 m
  2. 13.3 m
  3. 1.33m
  4. 133 m

Answer (Detailed Solution Below)

Option 2 : 13.3 m
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CONCEPT:

  • Refraction of Light: The bending of the ray of light passing from one medium to the other medium is called refraction.

F1 J.K 8.5.20 Pallavi D3

  • The refraction of light takes place on going from one medium to another because the speed of light is different in the two media.
  • The greater the difference in the speeds of light in the two media, the greater will be the amount of refraction.
  • medium in which the speed of light is more is known as optically rarer medium and a medium in which the speed of light is less is known as an optically denser medium.

EXPLANATION:

Given - Real depth of the water tank = x, real depth of the water tank = 10 m and refractive index of water (μw) = 1.33

  • The apparent depth is the distance of the virtual image from the surface of reference and the real depth is the distance of the real image from the surface of reference.

\(⇒ Refrective \; index=\frac{Real \;depth}{Apparent\;depth}\)

⇒ x = 1.33 × 10 = 13.3 m 

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